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74849645123214 = 231331137421536699
BaseRepresentation
bin10001000001001101001010…
…100000100101011010001110
3100211000120000110111202220120
4101001031022200211122032
534302314033122420324
6423105241405125410
721523464661025553
oct2101151240453216
9324016013452816
1074849645123214
1121938613389335
12848a442859866
13329c3a2b48950
14146aa56680a2a
1589c0273d9179
hex44134a82568e

74849645123214 has 128 divisors (see below), whose sum is σ = 168028284211200. Its totient is φ = 22072456627200.

The previous prime is 74849645123207. The next prime is 74849645123219. The reversal of 74849645123214 is 41232154694847.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74849645123219) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 139194637 + ... + 139731335.

It is an arithmetic number, because the mean of its divisors is an integer number (1312720970400).

Almost surely, 274849645123214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74849645123214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84014142105600).

74849645123214 is an abundant number, since it is smaller than the sum of its proper divisors (93178639087986).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

74849645123214 is a wasteful number, since it uses less digits than its factorization.

74849645123214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537306.

The product of its digits is 46448640, while the sum is 60.

The spelling of 74849645123214 in words is "seventy-four trillion, eight hundred forty-nine billion, six hundred forty-five million, one hundred twenty-three thousand, two hundred fourteen".

Divisors: 1 2 3 6 13 26 31 39 62 78 93 137 186 274 403 411 421 806 822 842 1209 1263 1781 2418 2526 3562 4247 5343 5473 8494 10686 10946 12741 13051 16419 25482 26102 32838 39153 55211 57677 78306 110422 115354 165633 169663 173031 331266 339326 346062 508989 536699 749801 1017978 1073398 1499602 1610097 1787987 2249403 3220194 3575974 4498806 5363961 6977087 10727922 13954174 16637669 20931261 23243831 33275338 41862522 46487662 49913007 69731493 73527763 99826014 139462986 147055526 216289697 220583289 225950279 432579394 441166578 451900558 648869091 677850837 955860919 1297738182 1355701674 1911721838 2279360653 2867582757 2937353627 4558721306 5735165514 5874707254 6838081959 7004458649 8812060881 13676163918 14008917298 17624121762 21013375947 29631688489 30955188223 42026751894 59263376978 61910376446 88895065467 91057962437 92865564669 177790130934 182115924874 185731129338 273173887311 402417446899 546347774622 804834893798 959610834913 1207252340697 1919221669826 2414504681394 2878832504739 5757665009478 12474940853869 24949881707738 37424822561607 74849645123214